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Finding the Fourth Proportional to 34,192.83, 51,282.72 and 12,004.20

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Solution

The fourth proportional to 34,192.83, 51,282.72 and 12,004.20 is: 18,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,192.83 : 51,282.72 = 12,004.20 : x
  2. Step 2: Convert to fraction form
    34,192.83/51,282.72 = 12,004.20/x
  3. Step 3: Cross multiply
    34,192.83x = 51,282.72 × 12,004.20
  4. Step 4: Simplify right side
    34,192.83x = 615,608,027.42
  5. Step 5: Solve for x
    x = 615,608,027.42/34,192.83
  6. Step 6: Final answer
    x = 18,004.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.